Forum: Prime Gap Searches
2022-05-17, 17:22
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Replies: 46
Views: 10,646
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Forum: Prime Gap Searches
2022-05-17, 17:02
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Replies: 47
Views: 6,951
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Forum: Lounge
2022-05-17, 16:48
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Replies: 1,689
Views: 191,903
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Forum: Lounge
2022-05-07, 16:20
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Replies: 1,203
Views: 136,907
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Forum: Prime Gap Searches
2022-05-01, 14:56
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Replies: 47
Views: 6,951
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Forum: Prime Gap Searches
2022-04-26, 09:18
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Replies: 47
Views: 6,951
Me too :smile:
At first sight, 37 should occur...
Me too :smile:
At first sight, 37 should occur more often than 29 because the two gaps preceding 37 are {2, 6} instead of {4, 6} for 29. If however we take three gaps before the prime into account,...
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Forum: Prime Gap Searches
2022-04-23, 15:59
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Replies: 47
Views: 6,951
That's what. You know, even though I don't get...
That's what. You know, even though I don't get many replies, it helps that I share my ideas here as it puts more pressure on me to think things through more thoroughly (try saying that five times...
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Forum: Prime Gap Searches
2022-04-22, 17:11
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Replies: 47
Views: 6,951
What do you get if you multiply six by nine?
9439 beats 283 at around x=740000.
9439 does not appear to beat 199.
113173 may be the subsequent local maximum (beating 24109 for some x < 1.2e6). A lot more ok and a lot higher bound x would need...
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Forum: Prime Gap Searches
2022-04-21, 17:04
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Replies: 109
Views: 31,077
OK, like I said I'll start testing...
OK, like I said I'll start testing 29*479909#/19#+x with -3531714 < x <= -2000000.
I won't test those -23995430 <= x < -3531714, that would take way too long :wink:
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Forum: Prime Gap Searches
2022-04-21, 16:47
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Replies: 138
Views: 36,292
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Forum: Prime Gap Searches
2022-04-20, 20:09
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Replies: 109
Views: 31,077
The WR gaps so far have all been fully checked,...
The WR gaps so far have all been fully checked, consequently this gap should also be fully checked IMHO.
My pocket calculator says for 36375 tests it would take me about 82 days for a full check on...
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Forum: Prime Gap Searches
2022-04-19, 16:35
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Replies: 109
Views: 31,077
I could donate some cycles for PRPing (four...
I could donate some cycles for PRPing (four OpenPFGW instances, each can check one number in about 13 minutes, ballpark).
Provided that someone else can do the sieving part. Or is a list of divisors...
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Forum: Prime Gap Searches
2022-04-13, 20:36
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Replies: 138
Views: 36,292
Never mind, I concocted something which I now...
Never mind, I concocted something which I now believe to be correct:
The sum [$]s(g)[/$] should be asymptotic to [$]\frac{g-1}{2c_2}-\frac{\log g}{4c_2}-\frac{5c_2}{21}[/$]
As a by-product, a...
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Forum: Prime Gap Searches
2022-04-13, 20:26
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Replies: 47
Views: 6,951
p=5659 is not a good candidate for a record...
p=5659 is not a good candidate for a record number of maximal gaps after p, as you can see in the attached graph. The graph shows pn vs. on(x) at x=500000. Points further to the right have a higher...
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Forum: Other Mathematical Topics
2022-04-07, 15:23
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Replies: 9
Views: 3,260
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Forum: Other Mathematical Topics
2022-04-05, 19:23
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Replies: 9
Views: 3,260
Correction: c ~ 2.14, and R(x) - also...
Correction: c ~ 2.14, and R(x) - also Li(x)-[$]\sqrt{x}[/$]/log(x) - should be ~ 8.5 times closer to [$]\pi[/$](x) by logarithmic average.
That is, until I find the next mistake in my...
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Forum: Other Mathematical Topics
2022-03-28, 17:39
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Replies: 9
Views: 3,260
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Forum: Prime Gap Searches
2022-03-25, 22:47
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Replies: 138
Views: 36,292
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Forum: Prime Gap Searches
2022-03-21, 22:08
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Replies: 47
Views: 6,951
You're right. For small x, 1327 and some of the...
You're right. For small x, 1327 and some of the previous primes should occur quite often as primes preceding maximal gaps. For x >= 8, 1321 occurs more often than 1327, and for x >= 10, 1303 or 1307...
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Forum: Prime Gap Searches
2022-03-16, 22:06
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Replies: 47
Views: 6,951
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Forum: And now for something completely different
2022-03-16, 21:30
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Replies: 22
Views: 1,330
Very nice gigantic GRU twins! :bow:
And...
Very nice gigantic GRU twins! :bow:
And there are p for which (b^p-1)/(b-1) are more prime-rich than others. Depends on how much primes of the form 2kp+1 exist, especially for small k. Good...
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Forum: And now for something completely different
2022-03-12, 22:47
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Replies: 22
Views: 1,330
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Forum: And now for something completely different
2022-03-10, 21:59
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Replies: 22
Views: 1,330
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Forum: Prime Gap Searches
2022-03-10, 21:16
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Replies: 47
Views: 6,951
Herr Ober, Zahlen bitte!
Data for maximal gaps for p < 3*1013 and k <= 109 is now publicly available! Rejoice!
I'm probably taking this up to p = 1014. Well, unless anyone wants to join in.
Since the primes at the...
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Forum: Other Mathematical Topics
2022-03-10, 20:20
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Replies: 9
Views: 3,260
OK thanks! This calculation doesn't have top...
OK thanks! This calculation doesn't have top priority at the moment, so it will probably take a while until I get results worth mentioning.
My favorite programming language would be the one I'm most...
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